Algebra 2 Extra Practice Lessons 3.4 and 3.5

What is the parent function of square root functions?

• f(x) = x
• f(x) = √x
• f(x) = -√x
• f(x) = x²

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Which of these equations shifts a radical equation right 5 units and down one unit?

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

• reflects over horizontal line, vertical stretch by 3, right 2, up 1

• reflects over vertical line, vertical compression by -3, left 2, up 1

• reflects over horizontal line, vertical stretch by -3, left 2, up 1

• reflects over vertical line, vertical compression by 1/3, right 2, up 1

Determine the equation for the graph.

Match the correct equation with the given graph.

What function best describes this graph?